We previously reported that the consequence of human lymphocytes irradiation by the adaptive doses (X-rays, 10 cGy) was a transposition of the homologous chromosome loci in the cell nucleus (FISH method); this phenomenon was mediated by the increase of nucleolus activity. They both are transmited to non-irradiated cells by the bystander effect (BE). We shown that the reaction of stress signaling is induced by the DNA fragments of irradiated lymphocytes. The study shows that after the inhibition of caspase 3 activity in irradiating lymphocytes or the blockade TLR9 in bystander cells the transposition was not observed. A signaling way of BE from irradiated lymphocytes apoptosis to bystander cells receptors is discussing.